CAM Analysis of Dimensionality Crossover

Autor: Kitatani, Hidetsugu, Kakiuchi, Takahiro, Ito, Nobuyasu, Suzuki, Masuo
Jazyk: angličtina
Rok vydání: 1995
Předmět:
Zdroj: Science reports of the Research Institutes, Tohoku University. Ser. A, Physics, chemistry and metallurgy. 40(2):283-286
ISSN: 0040-8808
Popis: Layered square-lattice ferromagnetic Ising models (∞×∞×n lattices) are studied by the Monte Carlo simulation for n=3 to 9. The results show the dimensionality crossover from the two-dimensional square lattice Ising model to the three-dimensional simple cubic Ising model. The shift exponent λ is estimated to be λ=1.64, which is consistent with the genral expectation that λ=1/ν_. Furthermore, CAM analysis is performed to evaluate the critical exponent γ of the three-dimensional simple cubic ferromagnetic Ising model, which shows that γ=1.21(4). The present analysis is also applicable to the study of the phase transition of quantum spin systems.
Databáze: OpenAIRE